Abstract
Rectifying, normal and osculating curves are studied many times in different spaces by many researchers. The aim of this paper is to characterize these curves from another point of view in Minkowski 3-space.
Keywords
References
- Bozkurt, Z., Gök, I., Okuyucu, O. Z. and Ekmekci, F.N. 2013. Characterizations of Rectifying, Normal and Osculating Curves in Three Dimensional Compact Lie Groups. Life Science Journal, 10(3), 819-823.
- Chen, B. Y. 2003. When does the position vector of a space curve always lie in its rectifying plane?. Amer. Math. Monthly, 110, 147-152.
- Do Carmo, M. 1976. Differential geometry of curves and surfaces. Prentice-Hall, Upper Saddle Riv. N.J.
- İlarslan, K., Nesovic, E., Petrovic-Torgasev, M. 2003. Some characterizations of rectifying curves in the Minkowski 3-space. Novi. Sad. J. Math., 33(2), 23-32.
- İlarslan, K. 2005. Spacelike normal curves in Minkowski space. Turk. J. Math., 29, 53-63.
- İlarslan, K., Nesovic´, E. 2004. Timelike and null normal curves in Minkowski space E_1^3. Indian J. Pure Appl. Math., 35, 881-888.
- Logan, J. and Oh, Y. M. 2017. Characterization of Rectifying and Sphere Curves in R^3. American Journal of Undergraduate Research, 14(2), 91-94.
- O'Neill, B. 1983. Semi-Riemannian geometry with applications to relativity. Academic Press, New York.
- Öztekin, H. 2016. Normal and Rectifying Curves in Galilean Space G3: Proceedings of IAM, 5(1), 98-109.
Abstract
Rektifiyan, normal ve oskülatör eğriler, pek çok araştırmacı tarafından farklı uzaylarda pek çok kez çalışılmıştır. Bu çalışmanın amacı 3-boyutlu Minkowski uzayında farklı bir bakış açısı ile bu eğrileri karakterize etmektir.
Keywords
References
- Bozkurt, Z., Gök, I., Okuyucu, O. Z. and Ekmekci, F.N. 2013. Characterizations of Rectifying, Normal and Osculating Curves in Three Dimensional Compact Lie Groups. Life Science Journal, 10(3), 819-823.
- Chen, B. Y. 2003. When does the position vector of a space curve always lie in its rectifying plane?. Amer. Math. Monthly, 110, 147-152.
- Do Carmo, M. 1976. Differential geometry of curves and surfaces. Prentice-Hall, Upper Saddle Riv. N.J.
- İlarslan, K., Nesovic, E., Petrovic-Torgasev, M. 2003. Some characterizations of rectifying curves in the Minkowski 3-space. Novi. Sad. J. Math., 33(2), 23-32.
- İlarslan, K. 2005. Spacelike normal curves in Minkowski space. Turk. J. Math., 29, 53-63.
- İlarslan, K., Nesovic´, E. 2004. Timelike and null normal curves in Minkowski space E_1^3. Indian J. Pure Appl. Math., 35, 881-888.
- Logan, J. and Oh, Y. M. 2017. Characterization of Rectifying and Sphere Curves in R^3. American Journal of Undergraduate Research, 14(2), 91-94.
- O'Neill, B. 1983. Semi-Riemannian geometry with applications to relativity. Academic Press, New York.
- Öztekin, H. 2016. Normal and Rectifying Curves in Galilean Space G3: Proceedings of IAM, 5(1), 98-109.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Research Article |
| Authors | |
| Publication Date | August 17, 2020 |
| IZ | https://izlik.org/JA94KJ57PX |
| Published in Issue | Year 2020 Volume: 36 Issue: 2 |
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